IDNLearn.com: Your reliable source for finding expert answers. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

What is the solution to this equation?

[tex]3x = 156[/tex]

A. [tex]x = 468[/tex]
B. [tex]x = 52[/tex]
C. [tex]x = 42[/tex]
D. [tex]x = 153[/tex]


Sagot :

To solve the equation [tex]\( 3x = 156 \)[/tex], follow these steps:

1. Identify the equation: We start with the equation [tex]\( 3x = 156 \)[/tex].

2. Isolate [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], we need to get rid of the coefficient 3 that is multiplying [tex]\( x \)[/tex]. We do this by performing the inverse operation, which is division.

3. Divide both sides of the equation by 3:
[tex]\[ \frac{3x}{3} = \frac{156}{3} \][/tex]

4. Simplification:
[tex]\[ x = \frac{156}{3} \][/tex]

5. Compute the division: When you divide 156 by 3, you get:
[tex]\[ x = 52 \][/tex]

Thus, the solution to the equation [tex]\( 3x = 156 \)[/tex] is [tex]\( x = 52 \)[/tex].

So, the correct answer is B. [tex]\( x = 52 \)[/tex].